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Finding the Third Proportional to 14,188.50 and 32,919.75

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Solution

The third proportional to 14,188.50 and 32,919.75 is: 76,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.50 : 32,919.75 = 32,919.75 : x
  2. Step 2: Convert to fraction form
    14,188.50/32,919.75 = 32,919.75/x
  3. Step 3: Cross multiply
    14,188.50x = 32,919.75 × 32,919.75
  4. Step 4: Simplify right side
    14,188.50x = 1,083,709,940.06
  5. Step 5: Solve for x
    x = 1,083,709,940.06/14,188.50
  6. Step 6: Final answer
    x = 76,379.46

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.